| HAL : hal-00696546, version 3 |
| Fiche détaillée | Récupérer au format |
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| Versions disponibles : | v1 (12-05-2012) | v2 (13-05-2012) | v3 (19-11-2012) |
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| Controllability Analysis of Quantum Systems Immersed within an Engineered Environment |
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| Andreea Grigoriu 1Herschel Rabitz 2 |
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| (18/11/2012) |
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| The problem of controllability of quantum systems interacting with an engineered environment, whose dynamics are described by a non-Markowian master equation is addressed. The manipulations of the dy- namics is realized with both a laser eld and a tailored non-equilibrium, and generally time-dependent, state of the surrounding environment. Lie algebra theory is used to characterize the structures of the reachable state sets and to prove controllability. The theoretical results are supported by examples. |
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| 1 : | CEntre de REcherches en MAthématiques de la DEcision (CEREMADE) |
| CNRS : UMR7534 – Université Paris IX - Paris Dauphine | |
| 2 : | Chemistry Department |
| Princeton University | |
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| Domaine | : | Mathématiques/Analyse numérique Chimie/Chimie théorique et/ou physique Physique/Physique Quantique |
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| quantum control – controllability of non-Markovian equations – Lie group controllability – controlla- bility in a non-compact Lie group |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00696546, version 3 | |
| http://hal.archives-ouvertes.fr/hal-00696546 | |
| oai:hal.archives-ouvertes.fr:hal-00696546 | |
| Contributeur : Gabriel Turinici | |
| Soumis le : Dimanche 18 Novembre 2012, 23:45:00 | |
| Dernière modification le : Dimanche 31 Mars 2013, 19:48:50 | |